Which relation is not a function? {(3,-,-,,8)} {(1,-,,5)(6,-3)} {(1, -,,,-2)} {(28)}

answer:

d

step-by-step explanation:

a. not a function since x = 8 repeats. we have x = 8 pair up with y = 3 and y = 7 at the same time.

b. not a function for similar reasons. now x = 2 repeats. we have x = 2 pair up with y = -3 and y = 7

c. not a function. we have x = -3 pair up with both y = 6 and y = 9 at the same time.

d. this is a function. each x value is listed once and only once. any input (x) leads to exactly one output (y). for choices a through c, it is possible to draw a vertical line through more than one point, thereby failing the vertical line test. in choice d, it is not possible to draw a vertical line through more than one point of this list. so this relation passes the vertical line test.

answer: choice d

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to rewrite a literal equation you may need to divide by a number, or by a variable.

hope i .

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40